Volume Modulus Inflation and the Gravitino Mass Problem

Abstract

The Hubble constant during the last stages of inflation in a broad class of models based on the KKLT mechanism should be smaller than the gravitino mass, H <~ m_{3/2}. We point out that in the models with large volume of compactification the corresponding constraint typically is even stronger, H <~ m_{3/2}^{3/2}, in Planck units. In order to address this problem, we propose a class of models with large volume of compactification where inflation may occur exponentially far away from the present vacuum state. In these models, the Hubble constant during inflation can be many orders of magnitude greater than the gravitino mass. We introduce a toy model describing this scenario, and discuss its strengths and weaknesses.

24 pages, JHEP style; v2. refs added

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• Inflation on an Open Racetrack
• Effective Field Theories for Local Models in F-Theory and M-Theory
• Curvatons in Warped Throats
• Neutrino Masses, Baryon Asymmetry, Dark Matter and the Moduli Problem : A Complete Framework